| Article ID: | iaor20041270 |
| Country: | Netherlands |
| Volume: | 38 |
| Issue: | 1 |
| Start Page Number: | 77 |
| End Page Number: | 89 |
| Publication Date: | May 2001 |
| Journal: | Queueing Systems |
| Authors: | Palmowski Zbigniew |
In this paper we consider a Semi-Markov process fluid model when the so-called basic system of nonlinear equations has no solution and kernel distributions of input environment processes are not heavy-tailed. We prove that in this case we still can find the upper exponential bound for the buffer overflow probability and give the example showing that the lower bound is impossible in general.